SOLUTION: Write the function that models the variation. Find 𝑧 when 𝑥 = 4 and 𝑦 = 9. 𝑧 varies directly with 𝑥 and inversely with 𝑦. When &

Algebra ->  Trigonometry-basics -> SOLUTION: Write the function that models the variation. Find 𝑧 when 𝑥 = 4 and 𝑦 = 9. 𝑧 varies directly with 𝑥 and inversely with 𝑦. When &      Log On


   



Question 1034810: Write the function that models the variation.
Find 𝑧 when 𝑥 = 4 and 𝑦 = 9. 𝑧 varies directly with 𝑥 and inversely with 𝑦.
When 𝑥 = 6 and 𝑦 = 2, 𝑧 = 15

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
We write this as
z+=+kx%2Fy
Plugging in we get
15+=+6k%2F2
so that
k = 5
and then
z+=+5x%2Fy
Now to find the new z...
z+=+5%284%29%2F9+=+20%2F9